A non-Hermitian loop for a quantum measurement
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915312159424512 |
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| author | Torres, Luis E. F. Foa Roche, Stephan |
| author_facet | Torres, Luis E. F. Foa Roche, Stephan |
| contents | Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger's equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schrödinger part of the quantum dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04629 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A non-Hermitian loop for a quantum measurement Torres, Luis E. F. Foa Roche, Stephan Quantum Physics Other Condensed Matter Here we present a non-Hermitian framework for modeling state-vector collapse under unified dynamics described by Schrödinger's equation. Under the premise of non-Hermitian Hamiltonian dynamics, we argue that collapse has to occur when the Hamiltonian completes a closed loop in the parameter space encoding the interaction with the meter. For two-level systems, we put forward the phenomenon of chiral state conversion as a mechanism for effectively eliminating superpositions. This perspective opens a way to simulate quantum measurements in classical systems that up to now were restricted to the Schrödinger part of the quantum dynamics. |
| title | A non-Hermitian loop for a quantum measurement |
| topic | Quantum Physics Other Condensed Matter |
| url | https://arxiv.org/abs/2408.04629 |